HV,
No, shoot it straight out the bottle!
Cover the entire model!
When I've sprayed my clear coat (Future) I have an old acrylic display case like you find in Hobby Lobby for protecting your models and I cover the model with that for at least 48 hours. This will keep any dust in the air from settling on your freshly sprayed Future.
To clean out your airbrush afterwords might I suggest a thorough cleaning then run some Windex through it (or some other ammonia based cleaner). Then I run a paint cup full of alcohol through to clear out the Windex; but that's just me!
Best of luck to ya!